Chapter 1.1, Problem 24E

In Exercises 23 and 24, key statements from this section are either quoted directly, restated slightly (but still true), or altered in some way that makes them false in some cases. Mark each statement True or False, and justify your answer. (If true, give the approximate location where a similar statement appears, or refer to a definition or theorem. If false, give the location of a statement that has been quoted or used incorrectly, or cite an example that shows die statement is not true in all cases.) Similar true/false questions will appear in many sections of the text.

24.

1. a. Elementary row operations on an augmented matrix never change the solution set of the associated linear system.
2. b. Two matrices are row equivalent if they have the same number of rows.
3. c. An inconsistent system has more than one solution.
4. d. Two linear systems are equivalent if they have the same solution set.